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Article
A family of numerical schemes for kinematic flows with discontinuous flux
Multiphase flows of suspensions and emulsions are frequently approximated by spatially one-dimensional kinematic models, in which the velocity of each species of the disperse phase is an explicitly given funct...
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Article
Monotone difference approximations for the simulation of clarifier-thickener units
Clarifier-thickener units treating ideal suspensions can be modeled as an initial-value problem for a nonconvex scalar conservation law whose flux depends on a vector of discontinuous parameters. This problem ...
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Article
Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
We consider a scalar conservation law modeling the settling of particles in an ideal clarifier-thickener unit. The conservation law has a nonconvex flux which is spatially dependent on two discontinuous parame...
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Chapter and Conference Paper
On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area
We study a clarifier-thickener unit considering that its cross-sectional area is not constant in both the clarification and the thickening zones. A mathematical model of sedimentation in such a vessel can be f...
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Article
Anterior approach for knee arthrography
Objective. To develop a new method of magnetic resonance arthrography (MRA) of the knee using an anterior approach analogous to the portals used for knee arthroscopy.
